Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation sqrt(4x^2-9x+2)=x-2
-
Equation Sqrt(cos^2x-sin^2x)(tg2x-1)=0
-
Equation tgx/3=sqrt(3)/3
- Equation log8(5x-1)=2
- Express {x} in terms of y where:
- 5*x+5*y=20
- 4*x-16*y=6
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
- 10*x-1*y=10
-
Identical expressions
- Sqrt(cos^2x-sin^2x)(tg2x- one)= zero
- Sqrt( co sinus of e of squared x minus sinus of squared x)(tg2x minus 1) equally 0
- Sqrt( co sinus of e of squared x minus sinus of squared x)(tg2x minus one) equally zero
- Sqrt(cos2x-sin2x)(tg2x-1)=0
- Sqrtcos2x-sin2xtg2x-1=0
- Sqrt(cos²x-sin²x)(tg2x-1)=0
- Sqrt(cos to the power of 2x-sin to the power of 2x)(tg2x-1)=0
- Sqrtcos^2x-sin^2xtg2x-1=0
- Sqrt(cos^2x-sin^2x)(tg2x-1)=O
-
Similar expressions
- Sqrt(cos^2x-sin^2x)(tg2x+1)=0
- Sqrt(cos^2x+sin^2x)(tg2x-1)=0
Sqrt(cos^2x-sin^2x)(tg2x-1)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
___________________ / 2 2 \/ cos (x) - sin (x) *(tan(2*x) - 1) = 0
$$\sqrt{- \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}} \left(\tan{\left(2 x \right)} - 1\right) = 0$$
Sum and product of roots
[src]
sum
/ _____________\ / _____________\ / _____________\ / _____________\ pi | / ___ | | / ___ | | / ___ | | / ___ | -- + -2*atan\\/ 3 - 2*\/ 2 / + 2*atan\\/ 3 - 2*\/ 2 / + -2*atan\\/ 3 + 2*\/ 2 / + 2*atan\\/ 3 + 2*\/ 2 / 8
$$\left(\frac{\pi}{8}\right) + \left(- 2 \operatorname{atan}{\left(\sqrt{- 2 \sqrt{2} + 3} \right)}\right) + \left(2 \operatorname{atan}{\left(\sqrt{- 2 \sqrt{2} + 3} \right)}\right) + \left(- 2 \operatorname{atan}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right) + \left(2 \operatorname{atan}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)$$
=
pi -- 8
$$\frac{\pi}{8}$$
product
/ _____________\ / _____________\ / _____________\ / _____________\ pi | / ___ | | / ___ | | / ___ | | / ___ | -- * -2*atan\\/ 3 - 2*\/ 2 / * 2*atan\\/ 3 - 2*\/ 2 / * -2*atan\\/ 3 + 2*\/ 2 / * 2*atan\\/ 3 + 2*\/ 2 / 8
$$\left(\frac{\pi}{8}\right) * \left(- 2 \operatorname{atan}{\left(\sqrt{- 2 \sqrt{2} + 3} \right)}\right) * \left(2 \operatorname{atan}{\left(\sqrt{- 2 \sqrt{2} + 3} \right)}\right) * \left(- 2 \operatorname{atan}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right) * \left(2 \operatorname{atan}{\left(\sqrt{2 \sqrt{2} + 3} \right)}\right)$$
=
/ _____________\ / _____________\
2| / ___ | 2| / ___ |
2*pi*atan \\/ 3 - 2*\/ 2 /*atan \\/ 3 + 2*\/ 2 /
$$2 \pi \operatorname{atan}^{2}{\left(\sqrt{- 2 \sqrt{2} + 3} \right)} \operatorname{atan}^{2}{\left(\sqrt{2 \sqrt{2} + 3} \right)}$$
Rapid solution
[src]
pi
x_1 = --
8
$$x_{1} = \frac{\pi}{8}$$
/ _____________\
| / ___ |
x_2 = -2*atan\\/ 3 - 2*\/ 2 /
$$x_{2} = - 2 \operatorname{atan}{\left(\sqrt{- 2 \sqrt{2} + 3} \right)}$$
/ _____________\
| / ___ |
x_3 = 2*atan\\/ 3 - 2*\/ 2 /
$$x_{3} = 2 \operatorname{atan}{\left(\sqrt{- 2 \sqrt{2} + 3} \right)}$$
/ _____________\
| / ___ |
x_4 = -2*atan\\/ 3 + 2*\/ 2 /
$$x_{4} = - 2 \operatorname{atan}{\left(\sqrt{2 \sqrt{2} + 3} \right)}$$
/ _____________\
| / ___ |
x_5 = 2*atan\\/ 3 + 2*\/ 2 /
$$x_{5} = 2 \operatorname{atan}{\left(\sqrt{2 \sqrt{2} + 3} \right)}$$
Numerical answer
[src]
x1 = -100.138265833175
x2 = 5.10508806208341
x3 = -89.1426915456104
x4 = 20.8130513300324
x5 = 85.2157007286231
x6 = -82.8595062384308
x7 = -16.8860605130451
x8 = 66.3661448070844
x9 = 80.5033117482384
x10 = 38.0918109247762
x11 = 41.233403578366
x12 = 14.5298660228528
x13 = 72.649330114264
x14 = 96.2112750161874
x15 = -64.009950316892
x16 = 75.7909227678538
x17 = 31.8086256175967
x18 = 30.2378292908018
x19 = -13.7444678594553
x20 = 56.941366846315
x21 = -56.1559686829176
x22 = -96.9966731795849
x23 = -65.5807466436869
x24 = 67.9369411338793
x25 = -37.3064127613788
x26 = -51.4435797025329
x27 = 89.9280897090078
x28 = 74.2201264410589
x29 = 93.0696823625976
x30 = -24.7400421470196
x31 = -87.5718952188155
x32 = -15.3152641862502
x33 = 8.24668071567321
x34 = 71.0785337874691
x35 = -53.0143760293278
x36 = -7.46128255227576
x37 = 6.67588438887831
x38 = -93.8550805259951
x39 = 16.1006623496477
x40 = 45.9457925587507
x41 = 12.9590696960579
x42 = -12.1736715326604
x43 = 94.6404786893925
x44 = -79.717913584841
x45 = -1.17809724509617
x46 = -75.0055246044563
x47 = -60.8683576633022
x48 = 23.9546439836222
x49 = 27.096236637212
x50 = -49.872783375738
x51 = 63.2245521534946
x52 = 49.0873852123405
x53 = 82.0741080750334
x54 = 34.9502182711865
x55 = -95.42587685279
x56 = 42.8041999051609
x57 = 50.6581815391354
x58 = 44.3749962319558
x59 = 58.5121631731099
x60 = -42.0188017417635
x61 = -20.0276531666349
x62 = -71.8639319508665
x63 = 0.392699081698724
x64 = 9.8174770424681
x65 = -78.1471172580461
x66 = -43.5895980685584
x67 = 28.6670329640069
x68 = -34.164820107789
x69 = 60.0829594999048
x70 = -73.4347282776614
x71 = -2.74889357189107
x72 = -46.7311907221482
x73 = -67.1515429704818
x74 = -38.8772090881737
x75 = -9.03207887907065
x76 = 64.7953484802895
x77 = 53.7997741927252
x78 = -35.7356164345839
x79 = 97.7820713429823
x80 = 19.2422550032375
x81 = 86.786497055418
x82 = -27.8816348006094
x83 = 88.3572933822129
x84 = -45.1603943953533
x85 = 78.9325154214436
x86 = -5.89048622548086
x87 = -81.2887099116359
x88 = 1.96349540849362
x89 = -21.5984494934298
x90 = -86.0010988920206
x91 = -57.7267650097125
x92 = -29.4524311274043
x93 = 100.923663996572
x94 = -23.1692458202247
x95 = 36.5210145979813
x96 = 22.3838476568273
x97 = 52.2289778659303
x98 = -31.0232274541992
x99 = -59.2975613365073
x99 = -59.2975613365073
The graph